Given numbers are 780,771,345,858

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 780,771,345,858 is 50716380.

Find LCM of 780,771,345,858 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 13 x 2 x 257 x 23 x 11 = 50716380

Therefore, the lowest common multiple of 780,771,345,858 is 50716380.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

780 x 771 x 345 x 858 = 178014493800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

771 : 1, 3, 257, 771

345 : 1, 3, 5, 15, 23, 69, 115, 345

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,771,345,858, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

771:3x 257

345:3x 5x 23

858:2x 3x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 13 = 1170

Therefore, the value for common factors is 1170.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 178014493800/(3x1170)

LCM = 178014493800/3510

LCM = 50716380

Thus, we can understand that the LCM of 780,771,345,858 is 50716380.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 584, 435, 655, 639
• LCM of 950, 168, 951, 890
• LCM of 131, 217, 830, 298
• LCM of 816, 544, 617, 394
• LCM of 883, 172, 993, 221

1. What is the LCM of 780, 771, 345, 858?

Answer: LCM of 780, 771, 345, 858 is 50716380.

2. How to calculate the LCM of 780, 771, 345, 858?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 780, 771, 345, 858.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.